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sclass VarBasedArithmeticEngine {
  MapSO vars = syncTreeMap();
  
  sclass NotRunYet {}
  static new NotRunYet notRunYet;
  
  abstract record MultiOp(LS inVars, S outVar) implements Runnable {
    O value = notRunYet;
    
    abstract O perform(L values);
    
    *(S... vars) {
      outVar = last(vars);
      inVars = asListMinusLast(vars);
    }
    
    run { get(); }
    
    O get() {
      value = perform(map getVar(inVars);
      setVar(outVar, value);
      ret value;
    }
  }

  macro ctors {  
    *(LS *inVars, S *outVar) {}
    *(S... vars) { super(vars); }
  }
  
  // add doubles
  persistent class DAdd > MultiOp { ctors
    Double perform(L values) {
      ret doubleSum(allToDouble(values));
    }
  }
  
  // multiply doubles
  persistent class DMul > MultiOp { ctors
    Double perform(L values) {
      ret doubleProduct(allToDouble(values));
    }
  }
  
  // subtract doubles (a-b-c...)
  persistent class DMinus > MultiOp { ctors
    Double perform(L values) {
      ret doubleMultiMinus(allToDouble(values));
    }
  }

  // division (a/b/c...) with division by zero giving 0
  persistent class DDiv > MultiOp { ctors
    Double perform(L values) {
      ret doubleMultiRatio(allToDouble(values));
    }
  }
  
  O getVar aka get(S var) { ret vars.get(var); }
  void setVar aka set(S var, O value) { if (var != null) vars.put(var, value); }
  
  *(O... _) {
    addParamsToMap_inPlace(vars, _);
  }
}